1. Stating the problems: f) Simplify $-45x \div 15$ h) Simplify $-25z \div (-5)$ j) Simplify $-32x \div 18$ l) Simplify $-56xy \div (-8)$ 2. Formula and rules: Division of terms with variables and constants follows the rule: $$\frac{a \cdot variable}{b} = \frac{a}{b} \cdot variable$$ Also, dividing negatives: - Negative divided by positive is negative. - Negative divided by negative is positive. 3. Step-by-step solutions: f) $-45x \div 15 = \frac{-45}{15} x = -3x$ h) $-25z \div (-5) = \frac{-25}{-5} z = 5z$ j) $-32x \div 18 = \frac{-32}{18} x = -\frac{16}{9} x$ l) $-56xy \div (-8) = \frac{-56}{-8} xy = 7xy$ 4. Final answers: f) $-3x$ h) $5z$ j) $-\frac{16}{9} x$ l) $7xy$